$napis="Abstract"; include "zacatek.inc"; ?> Preprint GA 5/2002
The $r$-th order variational sequence is the quotient sequence of the De Rham sequence on the $r$-th jet prolongation of a fibered manifold, factored through its contact subsequence. In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes. include "konec.inc"; ?>